How long will it take to fill a basin measuring 50 feet long, 20 feet wide, and 8 feet deep with two pumps operating at 120 gallons per minute?

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To determine the time it will take to fill the basin, you first need to calculate the volume of the basin in gallons. The volume can be calculated using the formula for the volume of a rectangular prism: length × width × height.

In this case:

Length = 50 feet
Width = 20 feet
Depth = 8 feet

Calculating the volume in cubic feet: Volume = 50 ft × 20 ft × 8 ft = 8,000 cubic feet.

Next, convert cubic feet to gallons, knowing that there are approximately 7.48 gallons in one cubic foot: 8,000 cubic feet × 7.48 gallons/cubic foot ≈ 59,840 gallons.

Now, with two pumps operating at 120 gallons per minute each, the total pumping capacity is: Total flow rate = 120 gpm × 2 = 240 gallons per minute.

To find out how long it will take to fill the basin, divide the total volume by the total flow rate: Time = Total volume / Total flow rate = 59,840 gallons / 240 gallons per minute = 249.33 minutes.

To convert minutes into hours and minutes, divide by 60: 249.33